2[-3(-2-4*-5)-9*-5]+7*-2-5*-5=b

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Solution for 2[-3(-2-4*-5)-9*-5]+7*-2-5*-5=b equation: 


Simplifying
2[-3(-2 + -4 * -5) + -9 * -5] + 7 * -2 + -5 * -5 = b

Multiply -4 * -5
2[-3(-2 + 20) + -9 * -5] + 7 * -2 + -5 * -5 = b

Combine like terms: -2 + 20 = 18
2[-3(18) + -9 * -5] + 7 * -2 + -5 * -5 = b

Multiply -3 * 18
2[-54 + -9 * -5] + 7 * -2 + -5 * -5 = b

Multiply -9 * -5
2[-54 + 45] + 7 * -2 + -5 * -5 = b

Combine like terms: -54 + 45 = -9
2[-9] + 7 * -2 + -5 * -5 = b

Multiply 2 * -9
-18 + 7 * -2 + -5 * -5 = b

Multiply 7 * -2
-18 + -14 + -5 * -5 = b

Multiply -5 * -5
-18 + -14 + 25 = b

Combine like terms: -18 + -14 = -32
-32 + 25 = b

Combine like terms: -32 + 25 = -7
-7 = b

Solving
-7 = b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1b' to each side of the equation.
-7 + -1b = b + -1b

Combine like terms: b + -1b = 0
-7 + -1b = 0

Add '7' to each side of the equation.
-7 + 7 + -1b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1b = 0 + 7
-1b = 0 + 7

Combine like terms: 0 + 7 = 7
-1b = 7

Divide each side by '-1'.
b = -7

Simplifying
b = -7

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